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Finding the Fourth Proportional to 5.20, 7.78 and 5.13

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Solution

The fourth proportional to 5.20, 7.78 and 5.13 is: 7.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.20 : 7.78 = 5.13 : x
  2. Step 2: Convert to fraction form
    5.20/7.78 = 5.13/x
  3. Step 3: Cross multiply
    5.20x = 7.78 × 5.13
  4. Step 4: Simplify right side
    5.20x = 39.89
  5. Step 5: Solve for x
    x = 39.89/5.20
  6. Step 6: Final answer
    x = 7.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.